Atkin-Lehner |
2+ 5- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
40120b |
Isogeny class |
Conductor |
40120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
378732800 = 28 · 52 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-220,768] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:40:1] [-4:40:1] |
Generators of the group modulo torsion |
j |
4620876496/1479425 |
j-invariant |
L |
6.3336915499643 |
L(r)(E,1)/r! |
Ω |
1.5643362953723 |
Real period |
R |
2.0244021597854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80240d1 |
Quadratic twists by: -4 |